Colin Colenso said:
No one has mentioned the aspect of squirt v pivot length in this thread yet, but it is very very important.
The idea that hitting (let's say) left of the CB aim point, making the CB travel to the left of your original aim cannot be assumed. It will depend on whether your bridge is in front of, or behind your cue's squirt pivot point.
eg. If your cue's squirt pivot point is at 8 inches (which is pretty normal), then if you bridge at this distance from the CB, whether you hit left or right on the CB, the CB will travel down the original center ball aim line.
Bridging closer, a left hit will deflect the CB to the left.
Brdging further, a left hit will deflect the CB to the right.
[...]
[/B]
I don't agree that 8" is a normal pp. I've not seen one that short on any cue that was nor specially rigged for high squirt.
If you bridge nead the cue's pp, then the cueball will go in the same direction regardless of what your rear hand does. So if you line up right and keep your bridge fixed there is a "self correction" of stroke errors. Here is a post I made to RSB in 1998 about this self sorrection when the bridge length is not equal to the pivot point.
**************************
FROM 7-24-98 RSB POST: *bl=bridge length, pp=pivot point
*Also it's not just the bl=pp stick that tends to cancel stroke errors.
Suppose you're hitting a shot with english that has a two degree "V of
acceptance." That is, suppose the shot will fail if the cueball deviates by
more than one degree in either direction from the ideal path. *Starting from
a perfectly lined up position and shooting with bridge length L using *a
stick of pivot point P, I get (assuming squirt is proportional to
displacement) that the following expression must be within the one degree
threshold:
* * * * theta = B(1 - L/P)
B here is the angular displacement of the stick from the initial allignment
(pivoting about the bridge). Theta is the deviation of the cueball path from
the desired path. *So for the squirtless stick, with P = infinity, *theta = B
and therefore the stick has to remain within one degree of allignment for
success. For the bl=pp (L=P) stick, the stick can pivot anywhere without a
deviation of the cue ball path. *How about for real sticks? *Suppose the
bridge length is 8 inches. *Then the above equation yields the following
table for maximum acceptable angular deviation of the stick (due to stroke
problems).
stick pivot point * maximum angular displacement
_________________ * ____________________________
* 4 inches * * * * * * * 1.0 *degrees
* 6 inches * * * * * * * 3.0 *degrees
* 8 inches * * * * * * * many degrees
*12 inches * * * * * * * 3.0 *degrees
*16 inches * * * * * * * 2.0 *degrees
*24 inches * * * * * * * 1.5 *degrees
*48 inches * * * * * * * 1.2 *degrees
*squirtless * * * * * * *1.0 *degrees
So even for the common 16 inch pivot point stick, the "self correction" of
squirt allows twice the deviation from the ideal as does the squirtless stick.
Or, turning this around, if you have a stick with a 16 inch pivot point, then
the following bridge lengths give you the following maximum angular
displacements:
*bridge length * * *maximum angular displacement
_________________ * ____________________________
* 4 inches * * * * * * * 1.3 *degrees
* 6 inches * * * * * * * 1.6 *degrees
* 8 inches * * * * * * * 2.0 *degrees
*12 inches * * * * * * *4.0 *degrees
*16 inches * * * * * * *many degrees
A squirtless stick has a maximum angular displacement of 1.0 degrees for any
bridge length.
> I guess my point is that there are no magical cures.
damn!
I'm not trying to overemphasize the importance of this "stroke" error
relative to the aiming errors. *They may well for all practical purposes wash
out this effect, but they may not too. *And it may be this is a useful
consideration for those whose "stroke" is not so good compared to their
ability to determine the right aim and their ability to lay down the stick
correctly.